Robust leader–follower formation control of mobile robots by the structural synthesis method

A problem of control of the motion of mobile robots with a differential drive in a leader–follower formation is considered. The proposed method of structural synthesis allow one to form control inputs for robots–followers only on the basis of information about the relative positions of the followers and the leader without using the absolute values of the spatial coordinates of the robots. The algorithm efficiency is confirmed by results of numerical experiments.

[1]  John L. Junkins,et al.  Spacecraft Formation Flying Control using Mean Orbit Elements , 2000 .

[2]  M. N. Filippov,et al.  Control of flight parameters of a quadrotor vehicle moving over a given trajectory , 2012 .

[3]  Kar-Han Tan,et al.  High Precision Formation Control of Mobile Robots Using Virtual Structures , 1997, Auton. Robots.

[4]  Vijay Kumar,et al.  Modeling and control of formations of nonholonomic mobile robots , 2001, IEEE Trans. Robotics Autom..

[5]  Domenico Prattichizzo,et al.  Discussion of paper by , 2003 .

[6]  Domenico Prattichizzo,et al.  Sliding mode formation tracking control of a tractor and trailer-car system , 2007, Robotics: Science and Systems.

[7]  Y. Zolotukhin,et al.  Inverted pendulum control with allowance for energy dissipation , 2010 .

[8]  Camillo J. Taylor,et al.  A vision-based formation control framework , 2002, IEEE Trans. Robotics Autom..

[9]  N.E. Leonard,et al.  Orientation control of multiple underwater vehicles with symmetry-breaking potentials , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[10]  M. N. Filippov,et al.  Using the Kalman filter in the quadrotor vehicle trajectory tracking system , 2013 .

[11]  Maurice Martin,et al.  TechSat 21: formation design, control, and simulation , 2000, 2000 IEEE Aerospace Conference. Proceedings (Cat. No.00TH8484).

[12]  Randal W. Beard,et al.  A decentralized approach to formation maneuvers , 2003, IEEE Trans. Robotics Autom..